Use the given parts of a right spherical triangle ACB to answer Question 12.1 -12.2.

C = 90°
B = 143° 44'
A = 60° 25'

1 answer

12.1) What is the value of angle C in radians?

To convert from degrees to radians, we use the formula:

radians = degrees * (π/180)

Therefore, angle C in radians would be:

C = 90° * (π/180) = π/2 radians

12.2) What is the value of angle A in radians?

Using the conversion formula:

A = 60° + 25'/60 = (60 + (25/60))°

Converting to radians:

A = (60 + (25/60))° * (π/180) = (3600 + 25)/60 * (π/180) = 3625/60 * (π/180) = 60.4167° * (π/180) = (60.4167π)/180 radians = π/3.0724 radians